Equations (11.55a), (11.55b) and (11.59) provide three equations with four unknowns, [A]i, [B]i, [A]n and [B]ii. The fourth equation is a statement of species conservation.

Suppose that the system consists of a total volume V of water to which nA moles of A and nB moles of B are added. After splitting into two phases of volumes Vi and Vii, the species conservation equations are:

[B]tot = f [B]i + (1-f)[B]n where f = VI/Vtot is the fraction of the total water volume converted to phase I and [A]tot = nA/Vtot and [B]tot = nB/Vtot. These are specified. Eliminating f between the two species conservation equations yields:

Solution of the phase-equilibrium equations Dimensionless forms of these equations result from the definitions:

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